Answer:
Below in bold.
Step-by-step explanation:
Nth term an = a1 + d(n - 1) where a1 = term 1 and d = common difference.
Here a1 = 5 and d = 8-5 = 3.
So an = 5 + 3(n - 1)
15th term a15
= 5 + 3(15 - 1)
= 5 + 42
= 47.
Answer:
y = 5
Step-by-step explanation:
Since BD bisects ∠ABC , then
∠ABD = ∠CBD ← substitute given angle values
5y - 3 = 2y + 12 ( subtract 2y from both sides )
3y - 3 = 12 ( add 3 to both sides )
3y = 15 ( divide both sides by 3 )
y = 5
Answer:
Step-by-step explanation:
Point-slope :
m = slope
The vertex form is
f(x) = a(x - (-1))^2 - 108 = a(x + 1)^2 - 108 where a is some constant.
from the y intercept x = 0 when f(x) = -105, so substituting:-
-105 = a (0+1)^2 - 108
a = -105+108 = 3
so our equation is f(x) = 3(x + 1)^2 - 108
for x intercept:-
3(x +1)^2 - 108 = 0
(x + 1)^2 = 108 / 3 = 36
x+ 1 = +/- sqrt36 = +/- 6
x = -7 or 5
so the x intercepts are at ( (-7,0) and (5,0)